{"id":1722,"date":"2007-11-15T20:10:43","date_gmt":"2007-11-16T03:10:43","guid":{"rendered":"http:\/\/dabacon.org\/pontiff\/?p=1722"},"modified":"2007-11-15T20:10:43","modified_gmt":"2007-11-16T03:10:43","slug":"proof-by-logical-exhaustion","status":"publish","type":"post","link":"https:\/\/dabacon.org\/pontiff\/2007\/11\/15\/proof-by-logical-exhaustion\/","title":{"rendered":"Proof by Logical Exhaustion"},"content":{"rendered":"<p>Uncertain Chad asks &#8220;What&#8217;s your favorite dubious proof technique?&#8221;  I just don&#8217;t have one dubious proof technique: I have an entire book of dubious proof techniques!  Seriously, I have a book where I write them all down.<br \/>\n<!--more--><br \/>\nBut if I had to choose a dubious proof technique that was my favorite, it would have to be &#8220;proof by logical exhaustion.&#8221;  Now you might think that this means that I logically list all possibilities to prove something, a technique which is perfectly valid and not very dubious at all.  No, no.  &#8220;Proof by logical exhaustion&#8221; is where you put forth a chain of logical reasoning so long and so tedious that your opponent is sure to get lost in the argument and in exhaustion will concede defeat.<br \/>\nI like this proof technique because it reminds me of a manuscript I saw once claiming to disprove special relativity which used about seven or eight changes of reference frame.  I mean the argument was wrong, but showing this left you pretty near brain dead from following the reasoning (and finding the hole in the reasoning.)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Uncertain Chad asks &#8220;What&#8217;s your favorite dubious proof technique?&#8221; I just don&#8217;t have one dubious proof technique: I have an entire book of dubious proof techniques! Seriously, I have a book where I write them all down.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[30,41],"tags":[],"class_list":["post-1722","post","type-post","status-publish","format-standard","hentry","category-funny-ha-ha","category-mathematics"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/posts\/1722","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/comments?post=1722"}],"version-history":[{"count":0,"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/posts\/1722\/revisions"}],"wp:attachment":[{"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/media?parent=1722"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/categories?post=1722"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/dabacon.org\/pontiff\/wp-json\/wp\/v2\/tags?post=1722"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}